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White raven [17]
3 years ago
11

A farmer makes a rectangular enclosure for his animals.

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

Remember that, for a rectangle of length L and width W, the area is:

A  =L*W

And the perimeter is:

P = 2*(L + W)

In this case, we know that:

W = x

Let's assume that one of the "length" sides is on the part where the farmer uses the wall.

Then the farmer has 72 m of fencing for the other "length" side and for the 2 wide sides, then:

72m = L + 2*x

isolating L we get:

L = (2x - 72m)

Then we can write the area of the rectangle as:

A = L*x = (2x - 72m)*x

A = 2*x^2 - 72m*x

(you wrote  A = 72x - 21, I assume that it is incorrect, as the area should be a quadratic equation of x)

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What is the radian measure of 205°? Express your answer as a fraction.
V125BC [204]

The radian measure of 205 degees is \frac{ 41 \pi }{36} radians

<em><u>Solution:</u></em>

Given that we have to express 205 degrees as radian

<em><u>To convert from degrees to radians use the following:</u></em>

x^{\circ} \times \frac{ \pi}{180}

where x is the value in degrees to be converted

Here, x = 205 degrees

Substituting we get,

\rightarrow 205 \times \frac{ \pi }{180}\\\\\rightarrow 41 \times \frac{ \pi }{36}\\\\\rightarrow \frac{41 \pi}{36}

Thus the radian measure of 205 degees is \frac{ 41 \pi }{36} radians

8 0
4 years ago
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
Pachacha [2.7K]
What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle  that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.

perimeter=2l+2w
 
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h²         substitution
81+81=h²            simplified
162=h²
√162=√h2           used radical properties
√162=h               length =√162

Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.

a² +b²=h²
(3)²+(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h           this is the width=√18

Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9

D. 33.9 units

5 0
4 years ago
Which expression is equivalent to 6 x + 8?
murzikaleks [220]
2(3x+4) you multiply 2 times 3x and 2 times 4 which gives you 6x+8
8 0
4 years ago
Read 2 more answers
LAST QUESTION...ILL GIVE BRAINLESS FOR BEST EXPLANATION​
Dennis_Churaev [7]

Answer:

175

Step-by-step explanation:

The circle has to = 360 degrees. 360-10=350

350/2=175

The x is halfway that's why you divide by 2.

4 0
3 years ago
A kite ascends at a rate of 30 feet per minute. What is the elevation after 6.5 minutes
Sever21 [200]

Answer:

195 feet.

Step-by-step explanation:

multiply 30 x 6.5.

8 0
3 years ago
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